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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 619 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.9234 ÷ 8 =
  2. 2.34378 ÷ 998 =
  3. 3.122371 ÷ 997 =
  4. 4.788879 ÷ 998 =
  5. 5.81719 ÷ 96 =
  6. 6.755588 ÷ 988 =
  7. 7.5393 ÷ 88 =
  8. 8.8971 ÷ 96 =
  9. 9.726196 ÷ 989 =
  10. 10.7168 ÷ 8 =
  11. 11.3979 ÷ 96 =
  12. 12.178605 ÷ 897 =
  13. 13.77247 ÷ 96 =
  14. 14.1646 ÷ 98 =
  15. 15.43532 ÷ 88 =
  16. 16.48910 ÷ 998 =
  17. 17.530502 ÷ 997 =
  18. 18.918054 ÷ 998 =
  19. 19.85891 ÷ 88 =
  20. 20.1840 ÷ 97 =
  21. 21.79335 ÷ 88 =
  22. 22.6768 ÷ 8 =
  23. 23.41496 ÷ 88 =
  24. 24.43321 ÷ 97 =
  25. 25.358746 ÷ 988 =
  26. 26.43728 ÷ 97 =
  27. 27.60143 ÷ 89 =
  28. 28.84942 ÷ 89 =
  29. 29.10641 ÷ 88 =
  30. 30.39488 ÷ 97 =
  31. 31.112831 ÷ 997 =
  32. 32.60889 ÷ 98 =
  33. 33.84450 ÷ 97 =
  34. 34.448503 ÷ 997 =
  35. 35.93987 ÷ 97 =
  36. 36.904359 ÷ 989 =
  37. 37.39698 ÷ 88 =
  38. 38.31097 ÷ 89 =
  39. 39.16175 ÷ 97 =
  40. 40.321844 ÷ 988 =

Answer key

  1. 1154 rem 2
  2. 34 rem 446
  3. 122 rem 737
  4. 790 rem 459
  5. 851 rem 23
  6. 764 rem 756
  7. 61 rem 25
  8. 93 rem 43
  9. 734 rem 270
  10. 896 rem 0
  11. 41 rem 43
  12. 199 rem 102
  13. 804 rem 63
  14. 16 rem 78
  15. 494 rem 60
  16. 49 rem 8
  17. 532 rem 98
  18. 919 rem 892
  19. 976 rem 3
  20. 18 rem 94
  21. 901 rem 47
  22. 846 rem 0
  23. 471 rem 48
  24. 446 rem 59
  25. 363 rem 102
  26. 450 rem 78
  27. 675 rem 68
  28. 954 rem 36
  29. 120 rem 81
  30. 407 rem 9
  31. 113 rem 170
  32. 621 rem 31
  33. 870 rem 60
  34. 449 rem 850
  35. 968 rem 91
  36. 914 rem 413
  37. 451 rem 10
  38. 349 rem 36
  39. 166 rem 73
  40. 325 rem 744

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